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(4x-4)(x-4)

less than a minute read Jun 16, 2024
(4x-4)(x-4)

Expanding and Simplifying the Expression (4x - 4)(x - 4)

This article focuses on expanding and simplifying the given algebraic expression: (4x - 4)(x - 4).

Understanding the Process

The expression is a product of two binomials. To expand it, we can use the FOIL method which stands for First, Outer, Inner, Last:

  1. First: Multiply the first terms of each binomial: 4x * x = 4x²
  2. Outer: Multiply the outer terms of the binomials: 4x * -4 = -16x
  3. Inner: Multiply the inner terms of the binomials: -4 * x = -4x
  4. Last: Multiply the last terms of each binomial: -4 * -4 = 16

Now, we have the expanded form: 4x² - 16x - 4x + 16

Simplifying the Expression

The final step is to combine the like terms:

4x² - 20x + 16

Conclusion

Therefore, the expanded and simplified form of the expression (4x - 4)(x - 4) is 4x² - 20x + 16.

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